What is the value of (d) in the sequence (31,27,23,19,\ldots)?
Answer and explanation
Correct answer: -4
In an arithmetic progression, the common difference is d = second term − first term. Here, d = 27 − 31 = -4. Each successive term is 4 less than the preceding term, so the common difference is negative. Although 4 is the magnitude of the decrease, it is not the common difference. Exam tip: always subtract an earlier term from the next consecutive term to find d.
Frequently asked questions
What is the correct answer to this question?
-4
Why is this the correct answer?
In an arithmetic progression, the common difference is d = second term − first term. Here, d = 27 − 31 = -4. Each successive term is 4 less than the preceding term, so the common difference is negative. Although 4 is the magnitude of the decrease, it is not the common difference. Exam tip: always subtract an earlier term from the next consecutive term to find d.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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